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Finding the Fourth Proportional to 477.92, 658.80 and 385.04

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Solution

The fourth proportional to 477.92, 658.80 and 385.04 is: 530.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.92 : 658.80 = 385.04 : x
  2. Step 2: Convert to fraction form
    477.92/658.80 = 385.04/x
  3. Step 3: Cross multiply
    477.92x = 658.80 × 385.04
  4. Step 4: Simplify right side
    477.92x = 253,664.35
  5. Step 5: Solve for x
    x = 253,664.35/477.92
  6. Step 6: Final answer
    x = 530.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.